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# pravesh gets rs 50 per hour of regular work and rs. 88 per hour of overtime work. he works altogether 196 hours and his income from overtime hours is 20% of his income from regular hours. then, for how many hours did he work overtime?

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get pravesh gets rs 50 per hour of regular work and rs. 88 per hour of overtime work. he works altogether 196 hours and his income from overtime hours is 20% of his income from regular hours. then, for how many hours did he work overtime? from screen.

## [Solved] John gets Rs 57 per hour of regular work and Rs 114 per hour

Calculation:     Total income = 114 × X + (172 – X) × 57 ATQ, 15% of (172 – X) × 57 = 114X ⇒ (15/100) × Home Quantitative Aptitude Time and Work Work and Wages

## John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime? (type in box)

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime? (type in box) Answer (Detailed Solution Below) 12

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## Detailed Solution

Calculation: Total income = 114 × X + (172 – X) × 57

ATQ, 15% of (172 – X) × 57 = 114X

⇒ (15/100) × (172 – X) = 2X

⇒ 15 × 172 – 15X = 200X

⇒ 215X = 172 × 15 ⇒ X = 12

He work over time 12 hour.

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## More Work and Wages Questions

Q1. A and B undertake to do a piece of work for Rs. 18,750. A can do it in 20 days and B can do it in 30 days. With the help of C, they finished it in 8 days. How much C should be paid for his work in proportion?Q2. The daily wages of men and women are in the ratio 4 ∶ 3. 15 men and 25 women together earn Rs. 5,400. Find the total wages of one man and 5 women.Q3. 'A' alone can complete a work for Rs. 6,500 in 15 days. With the help of 'B', the work is completed in 12 days. The share of 'B' is:Q4. A and B together can do a piece of work in 24 days. B and C together can do it in 36 days. If A is thrice as good a workman as C, in how many days can B alone do the work?Q5. A and B worked together and received a total of Rs. 18,000 for 15 days. A's efficiency in the work was 5 times that of B's. The daily wage of A (in Rs.) was:Q6. Ajeet and Bharni can complete a work in 12 days and 16 days. If they work together to complete the task and get Rs. 2100, then find the share of Bharni.Q7. 'A’ alone can complete a piece of work for Rs. 4,800 in 16 days, but by engaging an assistant, the work is completed in 12 days, Find the share to be received by the assistant.Q8. 4 men and 5 women can earn Rs. 8,800 in 8 days. 7 men and 10 women can earn Rs. 10,250 in 5 days. In how many days will 8 men and 12 women earn Rs. 21,600?Q9. 2 men and women together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs. 600 per day how much should a woman get per day ?Q10. A girl writes 4 pages in 1 hour after that she takes break for 10 minutes. At what time she writes 48 pages if she started at 8:00 AM.

## More Time and Work Questions

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Q4. P, Q, R can do a piece of work in 40 days, 90 days and 36 days, respectively. P started the work. Q joined him after 7 days. If R joined them after 8 days from the beginning, then for how many days did R work?Q5. Pipe A can fill 50% of a tank in 4 hours and pipe B can completely fill the same tank in 12 hours. If both the pipes are opened at the same time, then in how much time will the empty tank be completely filled?Q6. A man can do a work in 20 days and a woman can do the same work in 30 days. In how many days will 2 men and 3 women do the work?Q7. A and B undertake to do a piece of work for Rs. 18,750. A can do it in 20 days and B can do it in 30 days. With the help of C, they finished it in 8 days. How much C should be paid for his work in proportion?Q8. 8 men or 12 women can do a piece of work in 24 days. In how many days can the work be done by 8 men and 12 women?

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## John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer?

Regular hours worked=xovertime worked =yx+y=172_eq1x=172-y_eq2overtime hours is 15% of income from regular hrsi.e, 57x15%=114y8.55x=114y_eq3eq2 in eq38.55(172-y) =114y1470.6-8.55y=114y1470.6=122.55yy=1470.6/122.55=12so, the hours he worked overtime was 12 hrs. CAT Question  >  John gets Rs 57 per hour of regular work and ...

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?

Correct answer is '12'. Can you explain this answer?

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John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer?

Regular hours worked=x

overtime worked =y x+y=172_eq1 x=172-y_eq2

overtime hours is 15% of income from regular hrs

i.e, 57x15%=114y 8.55x=114y_eq3 eq2 in eq3 8.55(172-y) =114y 1470.6-8.55y=114y 1470.6=122.55y y=1470.6/122.55 =12

so, the hours he worked overtime was 12 hrs.

Upvote | 4 Reply

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Feb 18, 2022

It is given that John works altogether 172 hours i.e including regular and overtime hours.

Let a be the regular hours, 172-a will be the overtime hours

John's income from regular hours = 57*a

John's income for working overtime hours = (172-a)*144

It is given that his income from overtime hours is 15% of his income from regular hours a*57*0.15 = (172-a)*114

a=160

The number of hours for which he worked overtime = 172-160=12 hrs

Upvote | 1 Reply

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Zain Iqrar Apr 10, 2020 Related

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer?

Let no. of hours of regular work =x

no. of hours of overtime=y.

x+y=172. ----eqn 1 income relation, 114*y = 57*x*15/100 3x = 40y x=40/3y put in eqn 1 40/3y+y = 172 y=12 Upvote | 4 Reply

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Abhishek Kumar Jul 11, 2022

Let the regular work time be 'x' hrs.

and overtime be y hrs.

then, x+y = 172 -- (1)

and, 0.15*57*x=114*y => 0.15*x = 2*y

=> x = (40/3) *y -- (2)

Solving equations (1) and (2);

we get, y = 12 hrs. Upvote Reply

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Guneet Kaur Jun 29, 2022 ? Upvote Reply Share with a friend Answer this doubt Question Description

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? for CAT 2022 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? covers all topics & solutions for CAT 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer?.

Solutions for John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.

Here you can find the meaning of John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer?, a detailed solution for John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? has been provided alongside types of John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? tests, examples and also practice CAT tests.

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## Quantitative Aptitude

Quantitative Aptitude - Arithmetic - Time and work - John gets Rs 57 per hour of regular Slot - 2 - Quantitative Aptitude - Arithmetic - Time and work - John gets Rs 57 per hour of regular John gets Rs 57 per hour of regular - Video Solution ## Slot – 2 – Quantitative Aptitude – Arithmetic – Time and work – John gets Rs 57 per hour of regular

Quantitative Aptitude – Arithmetic – Time and work – John gets Rs 57 per hour of regular Slot – 2 – Quantitative Aptitude – Arithmetic – Time and work – John gets Rs 57 per hour of regular John gets Rs 57 per hour of regular – Video Solution

Q. John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Answer: 12Solution: let the number of overtime hours for john = x

So no regular hours = 172 –x

Income from overtime hours = (x)*114

Income from regular hours = (172-x)*57

Total income = 114x + (172 –x)*57 = 172*57 + 57x

As per question 15% of (172 – x) *57 = 114x

15/100 (172 +x)= 2x

15*172* – 15x = 200x

215x = 15*172 x = 12

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